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Lesson Example Discussion Quiz: Class Homework

Step-5

Title: The general term of the arithmetic progression

Grade: 9-a Lesson: S3-L8

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Find the general term of the arithmetic progression \$5/6,35/24,25/12,65/24,...\$
2	Step	The given sequence is \$5/6,35/24,25/12,65/24,...\$
3	Step	The first term is	\$a = 5/6\$
4	Step	The common difference is	\$d = 35/24 - 5/6 = 5/8\$
5	Formula:	The general term of an AP is calculated by the formula	\$ a_n = a + (n-1)d\$
6	Hint	Substitute a,d values in formula	\$ a_n = 5/6 + (n-1)(5/8)\$
7	Step	The general term of the given AP is	\$ a_n = 5/8 n + 5/24\$
8		Answer	D

Step

Type

Explanation

Answer

Problem

Find the general term of the arithmetic progression
\$5/6,35/24,25/12,65/24,...\$

Step

The given sequence is \$5/6,35/24,25/12,65/24,...\$

Step

The first term is

\$a = 5/6\$

Step

The common difference is

\$d = 35/24 - 5/6 = 5/8\$

Formula:

The general term of an AP is calculated by the formula

\$ a_n = a + (n-1)d\$

Hint

Substitute a,d values in formula

\$ a_n = 5/6 + (n-1)(5/8)\$

Step

The general term of the given AP is

\$ a_n = 5/8 n + 5/24\$

Answer

Tutor: Questions

Seq	Type	Question
1	Problem	What did you learn from this problem?
2	Clue	What did you learn from the clues?
3	Hint	What did you learn from the Hints?
4	Step	What did you learn from the Steps?
5	Step	How can we improve the Steps?

Seq

Type

Question

Audio

Problem

What did you learn from this problem?

Clue

What did you learn from the clues?

Hint

What did you learn from the Hints?

Step

What did you learn from the Steps?

Step

How can we improve the Steps?